Answer:
y = -2.5
Step-by-step explanation:
For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...
f(x) = 0 -2.5
which simplifies to ...
f(x) = -2.5
You can leave the equation like this, or write it as ...
y = -2.5
_____
Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.
(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
The answer would be 2(4x + 3y) cause the 2 gets multiplied by the numbers in the parentheses so 2x4x = 8x and 2x 3y = 6y
Hey there!
“2 (5x + 3)”
• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses
2(5x) + 2(3)
2(5x) = 10x ⬅️ FRONT number
2(3) = 6 ⬅️ BACK number
BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING
Answer: 10x + 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
(x+1)(x+2)
Step-by-step explanation:
x^2 + 3x + 2
find what multiples to 2 and adds to 3
Factors of 2 are 1 and 2, 2 + 1 = 3.
so the binomial would be (x+1)(x+2)
and then you would need to do FOIL to check
First: x * x = x^2
Outer: x * 2 = 2x
Inner: x * 1 = x
Last: 1 * 2 = 2
Then simplify: x^2 + 2x + x + 2
x^2 + 3x + 2
